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Finding the Fourth Proportional to 109.61, 164.46 and 102.99

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Solution

The fourth proportional to 109.61, 164.46 and 102.99 is: 154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.61 : 164.46 = 102.99 : x
  2. Step 2: Convert to fraction form
    109.61/164.46 = 102.99/x
  3. Step 3: Cross multiply
    109.61x = 164.46 × 102.99
  4. Step 4: Simplify right side
    109.61x = 16,937.74
  5. Step 5: Solve for x
    x = 16,937.74/109.61
  6. Step 6: Final answer
    x = 154.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.